I am an applied mathematician interested in partial differential equations and their applications in mathematical biology. Much of my work concerns nonlocal aggregation–diffusion models, which describe how organisms move in response to one another and to their environment. I use tools from PDE analysis, dynamical systems, bifurcation theory, and numerical simulation to study pattern formation, stability, and parameter identifiability in these systems. My Leverhulme Early Career Fellowship project focuses on how movement behaviours and environmental features, including habitat loss and fragmentation, interact to shape the spatial organisation of animal populations.

I am a PhD student interested in understanding the morphology of branched structures in biology, particularly of neuronal and glial cells, using simulations inspired by the physics of branching random walks. I am also exploring tools from topological data analysis such as persistent homology and the topological morphology descriptor, which aim to quantify the shape of data via methods from algebraic topology. I would like to understand how effective these techniques are for feature detection and parameter extraction, and what modifications can be made to these tools to improve their effectiveness.

Thesis. Efficient Statistical Inference for High Frequency Movement Data

Thesis. Mathematically modelling the effects of boldness on foraging success in pelagic seabirds

Funded by EPSRC grant EP/V002988/1. Now a lecturer at Swansea University.